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Tensors and Relativity: Chapter 4

Perfect fluids

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Next: The conservation equations Up: The energy- momentum tensor Previous: Conservation of particles

Finally we come to the type of fluid which will be of most interest to us. A perfect fluid  in Special Relativity is defined to be a fluid that has no heat conduction in the MCRF. It is the generalization of the ideal gas in ordinary thermodynamics. In the MCRF  the components of tex2html_wrap_inline1076 are


It is easy to show that in a general frame we have [ Assignment 4 ]:


This is the energy- momentum tensor of a perfect fluid .